Details

sample68.0ms

Algorithm

intervals

Results

35.0ms

256×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4555
5	2129
4	576
3	183
2	71
1	32
0	16

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y x) z)
2.2b	(+ (* a (+ y t)) (* (+ y x) z))
3.1b	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
28.8b	(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`pow1` `associate-*l/`
5×	`associate-/r*`
4×	`associate-l` `frac-add` `associate-*r/`
3×	`associate-r` `associate-/l*`
2×	`associate-+l+` `sum-log` `flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

16.0ms	(* (+ y x) z)
11.0ms	(+ (* a (+ y t)) (* (+ y x) z))
74.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
179.0ms	(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (+ y x) z)
70.0ms	(+ (* a (+ y t)) (* (+ y x) z))
148.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
222.0ms	(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

simplify1.8s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2545
1	552
0	182

prune863.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.7b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune126.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x (+ y t)))
2.2b	(+ (* a (+ y t)) (* (+ y x) z))
3.1b	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
28.9b	(* (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (/ 1 (+ x (+ y t))))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`associate-*l/`
5×	`associate-/r` `associate-r/`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `associate-+l+` `sum-log` `diff-log` `1-exp` `cbrt-unprod` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate--l+` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

22.0ms	(/ 1 (+ x (+ y t)))
12.0ms	(+ (* a (+ y t)) (* (+ y x) z))
63.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
277.0ms	(* (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (/ 1 (+ x (+ y t))))

series549.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ 1 (+ x (+ y t)))
70.0ms	(+ (* a (+ y t)) (* (+ y x) z))
142.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
239.0ms	(* (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (/ 1 (+ x (+ y t))))

simplify3.1s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	3962
1	606
0	197

prune675.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 8.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
2.2b	(+ (* a (+ y t)) (* (+ y x) z))
3.1b	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
28.9b	(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
8×	`div-exp` `associate-/l*`
6×	`flip3-+` `flip3--` `flip-+` `div-inv` `flip--`
5×	`pow1`
4×	`cbrt-undiv` `associate-l/` `frac-add` `associate-r/`
2×	`rec-exp` `associate-+l+` `clear-num` `sum-log` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `associate--l+` `pow-flip` `inv-pow`

Counts

4 → 178

Calls

4 calls:

82.0ms	(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
12.0ms	(+ (* a (+ y t)) (* (+ y x) z))
56.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
89.0ms	(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

668.0ms	(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
58.0ms	(+ (* a (+ y t)) (* (+ y x) z))
115.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
97.0ms	(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

simplify1.7s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	4564
1	776
0	263

prune890.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.1b

regimes987.0ms

Accuracy

46.2% (13.1b remaining)

Error of 17.6b against oracle of 4.5b and baseline of 28.8b

bsearch315.0ms

Steps

Iters	Range		Point
9	2.765405219724019e-10	0.0021791553575483446	0.001960496957535617
7	-1.7297753294222952e-228	-9.948149925498048e-230	-1.6240202432231436e-228
9	-1.4890891523175618e-186	-1.4494631553024713e-191	-1.472184673179025e-191
9	-3.7581088066948003e+70	-3.856643246250264e+62	-1.1234055354039828e+66

simplify10.0ms

Iterations

Iter	Nodes
done	42
1	42
0	31

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.8s	7997×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid